What is 3 (x-6) +2 ≥ 5x - 4
2 answers:
Answer:
-6 <u>></u> x
Step-by-step explanation:
3 (x-6) +2 ≥ 5x - 4
3x-18 + 2 <u>></u> 5x - 4
3x - 18 <u>></u> 5x - 6
-18 <u>></u> 2x - 6
-12 <u>></u> 2x
-6 <u>> </u>x
Answer:
x ≤ -6
Step-by-step explanation:
Distribute 3 through the paraentheses:
3(x - 6) + 2 ≥ 5x - 4
↓
3x - 18 + 2 ≥ 5x - 4
Calculate the sum:
3x - 18 + 2 ≥ 5x - 4
↓
3x - 16 ≥ 5x - 4
Move the variable (5x) to the left-hand side and change its sign:
3x - 16 ≥ 5x - 4
↓
3x -5x - 16 ≥ - 4
Move the constant (- 16) to the right-hand side and change its sign:
3x -5x - 16 ≥ - 4
↓
3x - 5x ≥ - 4 + 16
Collect like terms (3x and - 5x):
3x - 5x ≥ - 4 + 16
↓
-2x ≥ - 4 + 16
Calculate the sum:
-2x ≥ - 4 + 16
↓
-2x ≥ 12
Divide both sides of the inequality by -2 and flip the inequality sign:
x ≤ -6
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Answer:
x=4
Step-by-step explanation:
AB + BC = AC
AB= 6x, BC= x-5, AC= 23
Substituting what we know
6x + x-5 = 23
Combine like terms
7x -5 = 23
Add 5 to each side
7x-5+5 =23+5
7x = 28
Divide each side by 7
7x/7 = 28/7
x=4
